MODELLING OF CAUSE OF DEATH IN FEDERAL MEDICAL CENTRE, OWERRI, IMO STATE: A MULTINOMIAL LOGISTIC REGRESSION APPROACH

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ABSTRACT

This research work is aimed at modeling the causes of death among adult patients aged 15 years and above admitted at Federal Medical Centre (FMC), Owerri, Imo state. The data used for the study were extracted from record available at the Data Unit of Federal Medical Centre, Owerri, Imo State, and covered the period, 2013 – 2018. The data were analyzed using descriptive and multinomial logistic regression methods. 368 out of the 998 patients admitted died, implying a mortality rate of 369 per thousand of such patients. The average mortality rate was higher in the females (372 per 1,000 patients) group compared to male,(366 per 1,000 patients) group. The sex ratio shows excess female deaths over male deaths in the two youngest age groups 15-29 and 30-44, while the reverse was the case in the older age groups. Four major groups of diseases accounted for 70 percent of all deaths among the patients; they include Cardiovascular diseases, Infections diseases, Genitourinary diseases, and Digestive disorder. The most fatal of these groups of diseases is Genitourinary diseases with a fatality rate of 527 deaths per one thousand cases, which seems to be higher for males (578 deaths per 1,000 cases) than for females (407 deaths per 1,000 cases). The result of the multinomial logistic Regression revealed that Genitourinary group of diseases has the highest probability (0.7672) of causing death among adult patients admitted in Federal Medical Centre, Owerri. Other less fatal diseases include Malignant neoplasms with a probability of 0.0802, and Digestive disorder with probability of 0.0522.



 

 

 

 

TABLE OF CONTENTS

 

Title Page                                                                                                                    i

Declaration                                                                                                                  ii

Certification                                                                                                                iii

Dedication                                                                                                                  iv

Acknowledgements                                                                                                    v

Acronyms                                                                                                                    vii

Table of Contents                                                                                                       ix

List of Tables                                                                                                              x

List of Figures                                                                                                             xii

Abstract                                                                                                                      xiii

                                                                                                           

CHAPTER 1: INTRODUCTION                                                                          1

1.1       Background of the Study                                                                               1

1.2       Statement of Problem                                                                                     5

1.3       Aim and Objective                                                                                          5

1.3.1    General Objective                                                                                           6

1.3.2    The Specific Objective                                                                                    6

1.4       Significant of Study                                                                                       6

1.5       Scope of Study                                                                                               7

 

CHAPTER 2:            LITERATURE REVIEW                                                               8

2.1       Conceptual Framework                                                                                   8

2.1.1    Leading cause of death                                                                                   8

2.1.2    Causes of the sudden natural death in various hospital                                  11

2.1.3    Maternal mortality in Nigeria hospital                                                            11

2.2       Empirical Review                                                                                            13    

 

CHAPTER 3: METHODOLOGY                                                                          18

3.1       Sources of Data                                                                                              18

3.2       Variable Specification                                                                                     18

3.2.1    The response variable and baseline category                                                 18

3.2.2    Explanatory variables                                                                                      19

3.2.3    Model building                                                                                               19

3.3       Method of Analysis                                                                                        20

3.3.1    Age- sex structure of the research data.                                                         20

3.4       Multinomial Logistic Regression Model                                                        21

3.4.1    Estimating response probability of cause of death among patients aged       22

           years and above .

3.4.2    Parameter estimation                                                                                       25

3.5       Assumptions of Multinomial Logistic Regression                                         28

3.5.1    Goodness-of-fit test                                                                                        28

3.5.2    Test for multicollinearity                                                                                 30

3.5.3    Variance inflation factor (VIF):                                                                      30

3.5.4    Remedial measures for multicollinearity                                                         31

3.5.5   Classification table of the polytomous predicted variable                               31

3.6       Estimating the Wald test statistic                                                                   33

3.7       Estimating the Pseudo R2 test statistic                                                           34


CHAPTER 4: RESULTS AND DISCUSSION

4.1       The response variable categories                                                                     36

4.2       Determining the Leading Causes of Death In FMC Owerri                          39

4.3:      Result for Goodness-of-Fit-Test                                                                     46

4.4       Tests for Multicollinearity                                                                               47

4.4.1    Examination of the Pearson correlation                                                          47

4.4.2    Multicollinearity test using variance inflation factor (VIF)                            48

4.5       Multinomial Results                                                                                        49

4.6       Predicting The Probability of Dying of Each Cause of Death                       60

4.7       Fitting A Statistical Model to Causes of Death Data Among And

            Patient Aged 15 Years and Above                                                                 63                                                                                           

4.7.1  The estimated result of the model fitting information                                      65

4.7.2  Likelihood Ratio Tests for selected model                                                       66

4.8    Results for Pseudo R-Square                                                                             68


CHAPTER 5: CONCLUSION AND RECOMMENDATIONS

5.1       Conclusion                                                                                                      69

5.2       Recommendations                                                                                          70

            References                                                                                                      71

Appendix                                                                                                        76

 

 

  

 

 

LIST OF TABLES

3.2:      Explanatory variables and their categories                                                     19

4.1:      Frequencies of the response variable categories                                             36

4.2:      Distribution of patients aged 15 years and above admitted in

            FMC, Owerri and deaths among them, 2013-2018.                                       38

4.3:      Levels and trend of mortality rates among patients aged 15 years

            and above admitted at FMC, Owerri 2013-2018.                                          39

 4.4:     Distribution of death by cause, place of residence, for the period

           2013-2018, Federal Medical Centre, Owerri.                                                  40

 4.5:     Cause of death structure for patients aged 15 years and above 

           admitted in FMC, Owerri 2013 -2018.                                                            41

4.6:         Distribution of deaths by age and sex period 2013-2018

           at FMC, Owerri.                                                                                              42

 4.7:     Fatality rate of diseases for which patients Aged 15 years and

           above were admitted in FMC, Owerri 2013-2018                                          44

 4.8:  The estimation of the deviance and Pearson’s chi-square

         goodness-of-fit test                                                                                            46

 4.9:     Pearson correlation for the explanatory variables                                           47

 4.10:   Estimated collinearity statistics (tolerance and VIF) of explanatory

           variables   for patient age 15 years and above, who were admitted at

            FMC, Owerri   2013-2018.                                                                             48

4.11:    Logit coefficients from multinomial                                                               50

 4.12:     Logit coefficients, of multinomial logistic regression of dying

           of 1of 9 causes Vs dying of other causes, on  selected predictor

            among patients  aged  15 years and above admitted in FMC,

Owerri, 2013-2018.                                                                                         57

 4.13:   Estimated probability of dying for each response variable

category among patients Age 15 years and above admitted in Federal

Medical Centre Owerri,  from 2013-2018.                                                     63 

4.14:    Estimated step summary of fitted model                                                       65

 4.15:   Estimated   model fitting information                                                            66

 

 

4.16:    Estimated likelihood ratio tests for selected model of the patient

age 15years and admitted in the Federal Medical Centre Owerri,

2013-2018.                                                                                                      67.

 4.17:   Pseudo R-Square                                                                                            68

 

 

 

 

 

 

LIST OF FIGURES

 

4.1:      Percentage distribution of total deaths by cause according to sex

among patients age 15  years and above, FMC, Owerri: 2013-2018.             42

 

4.2:      Case fatality rate by sex among patients aged 15 years and above, FMC,

Owerri: 2013-2018.                                                                                         45

 

 

 



ACRONYMS

 

WHO:             World Health Organization

ICD:                International Classification of Diseases

MMR:             Maternal Mortality Rate

SRD:               Sex Ratio at Death

MNLR:           Multinomial logistic Regression

FMC:               Federal Medical Centre

CVDs:             Cardiovascular Diseases

VIF:                Variance Inflation Factor

AIC:                Akaike’s Information Criterion

BIC:                Bayesian Information Criterion

CFR:               Case Fatality Rate

MR:                 Mortality Rate

Ca:                   Cancer

CCF:               Congestive Cardiac Failure

HHD:              Hypertensive Heart Disease

TB:                  Tuberculosis

STDs:              Sexually Transmitted Disease

HIV:                Human Immunodeficiency Virus

CKDD:           Chronic kidney Disease

KIDD:             Kidney Disease

BOO:              Bladder Outlet Obstruction

UTIs:               Urinary Tract Infection

CLD:               Chronic Liver Disease

GOO:              Gastric Outlet Obstruction

Obst.Lab.:       Obstructive Labor

DFU:               Diabetes Foot Ulcer

PUD:               Peptic Ulcer Disease

Dm:                 Diabetes Mellitus

Leuk.Ca:         Leukemia Cancer

CPR:               Cardiopulmonary Resuscitation




 

 

CHAPTER 1

INTRODUCTION


 1.1 BACKGROUND OF THE STUDY

Human death has always been shrouded by mystery. In modern times, however, the study of death has become a central concern. According to Siegel and Swanson (2004), death is the permanent disappearance of all evidence of life at any time after live birth has taken place. The concept of death is key to understanding of the phenomenon (Mohammad and Gilblert, 2010). Determining when death has occurred is difficult, as cessation of life functions is often not simultaneous across organ systems (Henig, 2016).

Historically, attempts to define the exact moment of a human’s death have been subjective or imprecise. Death was once defined as the cessation of heartbeat (cardiac arrest) and of breathing, but the development of cardiopulmonary resuscitation (CPR) and prompt defibrillation have rendered that definition inadequate because breathing and heartbeat can sometime be restarted.

The death of a person has legal consequences that may vary between different jurisdictions. A death certificate is issued in most jurisdictions, either by a doctor, or by an administrative office upon presentation of a doctor's declaration of death. For us to ascertain the cause of death of a person, we make use of death certificate, which provides information on medical condition that led to death. The information is coded using standard cause of death classification categories developed by World Health Organization (Rasika et al., 2014).

Reliable information on deaths by cause is a vital ingredient for planning, managing and monitoring the performance of the health sector of any nation. Estimates of mortality rate disaggregated by age and sex for specific causes   provide insight on the evolution of the overall mortality rate in a population (Murray and Lapez, 1997).

In most countries, death certificates constitute the largest disease related source of information for public health research and policy making. Many middle income countries, including Nigeria have established vital registration systems to compile their mortality statistics.

Leading causes of death are underlying causes of deaths that usually account for large number of deaths within a specified geographical area and time period.  Furthermore, the leading cause of death statistics help health authorities determine the focus of their public health intervention. For instance, a city or country in which deaths from heart disease and diabetes rise rapidly over a period of few years has a strong interest in starting a vigorous programme to encourage healthy lifestyles to help prevent these illnesses. Similarly, if a city recognizes that many children are dying of pneumonia, but only a small portion of the budget is dedicated to providing effective treatment, it can increase the spending in this area.

In the 1960s and 1970s, it was common for observers to speculate about a global convergence in mortality patterns (Omran 1971a; Stolnitz 1965; UN 1975). The optimism was based on the diffusion of medical knowledge and technologies in the post World War II-period, which facilitated faster improvements in the life expectancy of developing countries compared to the eighteenth and nineteenth century mortality transitions in Western Europe (Davis 1956; Omran 1971b). Over the last two decades, about one out of four countries in the world experienced a mortality crisis and decreasing life expectancy due to conflict (e.g., Rwanda, Angola, Sierra Leone, Liberia, Iraq, Somalia), economic crises and the failure of health systems (e.g., Russia, Kazakhstan, Belarus, Ukraine, Democratic People's Republic of Korea, Zimbabwe), and, most importantly, because of the mortality impact of the HIV/AIDS epidemic (UN 2009). The paucity of vital statistics is problematic for estimating adult mortality while information on infant and child mortality is in principle easily elicited from the mothers. In some countries, adult health has drastically deteriorated since the 1980s, leading to an increasing heterogeneity in adult mortality levels. Information on causes of death suggests, however, that the extremely high adult mortality levels in some of the South Eastern African countries are not the sole result of the HIV/AIDS epidemic, but due to the triple burden of infectious and chronic diseases (Reniers et al. 2014). A review of adult mortality trends in Africa inevitably induces controversies about data sources and methods of estimation, because of a lack of reliable data for estimating adult mortality. The crux of all difficulties in estimating adult mortality in most African countries is the absence of an accurate vital registration system. Apart from the northern African countries, only Mauritius, Cape Verde, Réunion, and South Africa have consistently provided nationally-representative vital statistics over the last few years (Cleland 1996; Mahapatra et al. 2007; Mathers et al. 2005; Setel et al. 2007).

The leading causes of death in developed countries are atherosclerosis (heart disease and stroke), cancerinfectious disease and other diseases related to obesity and  aging. By an extremely wide margin, the largest unifying cause of death in the developed world is biological aging (Aubrey and Grey, 2007) leading to various complications known as aging-associated diseases. These conditions cause loss of homeostasis, leading to cardiac arrest, causing loss of oxygen and nutrient supply, causing irreversible deterioration of the brain and other tissues. Of the roughly 150,000 people who die each day across the globe, about two thirds die of age-related causes. In industrialized nations, the proportion is much higher, approaching 90% (Aubrey and Grey, 2007). With improved medical capability, death has become a condition to be managed if the leading causes are known (Aubrey and Grey, 2007). Moreover, leading causes of death can be determined even when reliable population estimates are lacking, making it a readily available measure for health, wherever effective mortality reporting is in place. There are a number of measures that can be used to gauge the relative importance of a specific cause of death. These include age-adjusted death rates, cause –eliminated life tables and cause –associated years of productive life lost.

Finally, Anderso and Smith (2005) on behalf of World Health Organization developed a revised version of cause of death grouping for determining underlying causes of death for the last International Classification of Diseases (ICD). It is important to obtain and follow the cause of death groupings that match the ICD revision reflected in historical mortality data. This ensures comparability of cause-of-death statistics within and between nations. They are also organized to be able to compare leading causes across the ICD revisions used historically.

The logistic model is a statistical model that estimates the likelihood of an event occurring as a result of the interaction of one or more independent variables. There are different types of  logistic model which include : firstly Binary Logistic Regression: This type of logistic regression is used when the dependent variable has only two possible outcomes, such as "yes" or "no", "true" or "false", or "success" or "failure". Binary logistic regression is commonly used in medical research, social sciences, and marketing to model binary outcomes such as disease diagnosis, voting behavior, and customer churn(Hosmer, et al.,2013). Secondly, Ordinal Logistic Regression is the  type of logistic regression used when the dependent variable has three or more ordered categories, such as "low", "medium", and "high", or "poor", "fair", "good", and "excellent". Ordinal logistic regression is commonly used in fields such as psychology, social sciences, and education to model outcomes such as academic achievement, job satisfaction, and quality of life (Long, 1997). Thirdly, Multinomial Logistic Regression is used when the dependent variable has three or more unordered categories. Multinomial logistic regression is commonly used in fields such as public health, education, and psychology to model outcomes such as educational attainment, disease severity, and mental health status (Agresti, 2019).  Multinomial logistic regression is a statistical technique that is used to model outcomes with more than two categories. In this study, the outcome variable is the cause of death, which is classified into nine categories based on the International Classification of Diseases (ICD-10) codes.

 

1.2       STATEMENT OF THE PROBLEM

For long, adult mortality remained a neglected public issue in Africa (Bradshaw and Timaeu, 2006). Previous  studies  focused on causes of death due to sudden natural deaths (Obiorah and Amakiri, 2012), maternal mortality (Olopade and Lawoyin, 2008) except Dudley and Hosik, (2008) who carried out a study  on leading causes of death among elderly people in US. Recently, it has been shown that the leading cause of death varies from region to region (Myunggu et al. 2020).It is important to note that most deaths are preventable if the underlying causes are known. Adequate planning to reduce mortality requires understanding the leading of causes of death which help in optimum use of limited resource to reduce the high death rate.

The problem is to fit a statistical model that can accurately predict the cause of death based on set of predictor variables. Specifically, the goal is to use a multinomial logistic regression approach to analyze large dataset of deaths and their associated characteristics, such as age, gender, marital status, medical history, and other factors that may be relevant to understand the causes of death.

The model must be able to classify each death into one several possible categories of cause of death (e.g., heart disease, cancer, accidents, etc), bases on the available data. The challenge is to identify the most important predictor variables to fit a model that is both estimable and interpretable, allowing researches to better understand the underlying factors contributing to each death.

Since the outcome variable of interest is multiclass (i.e. has more than two levels) and categorical (i.e the variables have no natural ordering), a multinomial logistic regression technique is considered appropriate. This is because multinomial logistic regression provides highly interpretable coefficients that quantify the relationship between the independent and the outcome variables. In addition, multinomial logistic regression is more flexible than ordinal logistic regression because it dose not require many strong assumption about the structure of the data (Kwak and Clayton-Matthew, 2002).

It is for the above reason that this study is conceived to identify and model using multinomial logistic regression the major causes of death among patients aged 15 years and above who were admitted to the Federal Medical Centre, Owerri, Imo State.

 

1.3       OBJECTIVES OF THE STUDY

1.3.1    General objective:

This study is aimed at identifying and modeling the leading causes of death among patients aged 15years and above admitted to Federal Medical Centre, Owerri, Imo State.

1.3.2    The specific objectives include:

a)      To identify the causes of death structure among patients aged 15 years and above admitted at Federal Medical Centre, Owerri, Imo State.

b)      To fit a multinomial logistic regression model to causes of death data among patients’ aged 15 years and above.

c)      To predict the probability of dying by each cause of death identified among patients’ aged 15 years and above.

 

1.4    SIGNIFICANCE OF STUDY

This study provides information on the major health challenge affecting the population aged 15year and above in the Federal Medical Center Owerri, Nigeria, using a multinomial logistic regression approach. Nigeria, like many sub-Saharan African countries, has a high mortality rate, and the Federal Medical Center Owerri is one of the largest tertiary hospitals in the country. Therefore, understanding the causes of death in this hospital can provide insights into the broader mortality trends in Nigeria and the region as a whole. It will be of utmost importance for health policy formulation and decision making.   Reliable information on cause of death can guide research, optimum resource allocation and help in effective management of health services, leading to improvement in the health of the people and saving of lives.

 

1.5     SCOPE OF STUDY

This study is limited to data on persons’ aged 15 years and above admitted to Federal Medical Centre, Owerri, Imo State for the six years period of 2013-2018 and the use of Multinomial logistic Regression . 

 

 

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